Journal:
:Communications in Partial Differential Equations2022
Given a global 1-homogeneous minimizer U0 to the Alt-Caffarelli energy functional, with sing(F(U0))={0}, we provide foliation of half-space Rn×[0,+∞) dilations graphs minimizers U¯≤U0≤U¯ analytic free boundaries at distance 1 from origin.
